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PFAFF, JOHANN FRIEDRICH (1765–1825)
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See also:PFAFF, JOHANN See also:FRIEDRICH (1765–1825) , See also:German mathematician, was See also:born on the 22nd of See also:December 1765 at See also:Stuttgart. He received his See also:early See also:education at the Carlsschule, where he met F. See also:Schiller, his lifelong friend. His mathematical capacity was early noticed; he pursued his studies at See also:Gottingen under See also:Abraham Gotthelf Kastner (1719–1800), and in 1787 he went to See also:Berlin and studied See also:practical See also:astronomy under J. E. See also:Bode. In 1788 Pfaff became See also:professor of See also:mathematics in See also:Helmstedt, and so continued until that university was abolished in 181o. From that See also:time till his See also:death on the 21st of See also:April 1825 he held the See also:chair of mathematics at See also:Halle. Pfaff's researches See also:bore chiefly on the theory of See also:series, to which he applied the methods of the so-called combinatorial school of German mathematicians, and on the See also:solution of See also:differential equations. His two See also:principal See also:works are Disquisitiones analyticae maxime ad caleulum integralem et doctrinam serierum pertinentes (4to., vol. i., Helmstedt, 1797) and " Methodus generalis, aequationes differentiarum particularum, necnon aequationes differentiales vulgares, utrasque primi ordinis inter quotcumque variabiles, See also:complete integrandi " in Abb. d. Berl. Acad. (1814–1815). The former See also:work contains Pfaff's discussion of a certain differential See also:equation which generally bears his name, but which had originally been treated in a less complete manner by L. See also:Euler (see DIFFE 2ENTIAL EQUATIONS). The latter work contains an important addition to the theory of partial differential equations as it had been See also:left by J. L. See also:Lagrange. His See also:brother, JOHANN WILHELM ANDREAS PFAFF (1774—1835), was professor of pure and applied mathematics successively at Dorpat, See also:Nuremberg, See also:Wurzburg and See also:Erlangen. Another brother, See also:CHRISTIAN HEINRICH PFAFF (1773-1852), graduated in See also:medicine at Stuttgart in 1793, and from 18o1 till his death was professor of medicine, physics and See also:chemistry at the university of See also:Kiel. Additional information and CommentsThere are no comments yet for this article.
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